3662292480 has 480 divisors, whose sum is σ = 14733556992. Its totient is φ = 759644160.

The previous prime is 3662292401. The next prime is 3662292481. The reversal of 3662292480 is 842922663.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662292481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504679 + ... + 6505241.

Almost surely, 2^3662292480 is an apocalyptic number.

3662292480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366778496).

3662292480 is an abundant number, since it is smaller than the sum of its proper divisors (11071264512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3662292480 is a wasteful number, since it uses less digits than its factorization.

3662292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3662292480 is about 60516.8776458270. The cubic root of 3662292480 is about 1541.4082356717.

The spelling of 3662292480 in words is "three billion, six hundred sixty-two million, two hundred ninety-two thousand, four hundred eighty".